Question

Prove that root2 is an irrational number.​

Answer 1

Answer:

Suppose,

√2 is a rational number.

√2 =a/b (b is not equal to 0) and a , b are co-prime -1

√2 =a/b

√2 x b = a

√2= a

NOW,

√2=a/b

√2 x a = b

√2= b

But, a , b has not other factor in common (by -1)

So, our supposition that √2 is rational was wrong.

Then, √2 is irrational.

- proved.